OFFSET
2,1
COMMENTS
This value is negative.
It is not known if this number has a closed form.
This root occurs on the real component of the function x^y = y for x values which are all real.
FORMULA
Original fixed point function is of the form: x^y = y. When solved for y: y = -ProductLog(-log(x))/log(x).
EXAMPLE
-99.1120147991877404695252398904774418725997764195131575672373129...
MATHEMATICA
FindRoot[Re[-ProductLog[-Log[x]]/Log[x]], {x, -100, -99}, WorkingPrecision -> 261]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
David D. Acker, Sep 27 2016
STATUS
approved